5 papers
Sharp decay characterization for the Oldroyd-B system with only velocity dissipation
Zhi Chen, Mingwen Fei, Lvqiao Liu +1
We study the incompressible Oldroyd-B system on , , in the regime in which the velocity is the only dissipated quantity: the stress tensor undergoes neither rel…
Stabilizing effect of a background magnetic field on the 2D damped wave-type MHD equations
Zhi Chen, Mingwen Fei, Hongxia Lin +2
The stabilizing effect of a background magnetic field on electrically conducting fluids has been rigorously established for the standard MHD equations. This paper extends this theo…
Sharp decay characterization for the incompressible Oldroyd-B model in critical spaces
Zhi Chen, Mingwen Fei, Lvqiao Liu +1
This paper establishes a sharp characterization of temporal decay rates for the incompressible Oldroyd-B model in a critical framework, covering the physically relevant and m…
Global Regularity to the liquid crystal flows of Q-tensor model
Z. Chen, E. Terraneo
In this paper we investigate a forced incompressible Navier-Stokes equation coupled with a parabolic type equation of Q-tensors in a domain In the case is bound…
Prandtl-Batchelor flows with a point vortex on a disk
Zhi Chen, Mingwen Fei, Zhiwu Lin +1
We study steady two-dimensional incompressible Navier-Stokes flow in the unit disk in a high Reynolds number regime, driven by a localized central forcing and a nearly rigid rotati…